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Finding the Fourth Proportional to 185,422.40, 278,133.60 and 178,164.80

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Solution

The fourth proportional to 185,422.40, 278,133.60 and 178,164.80 is: 267,247.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,422.40 : 278,133.60 = 178,164.80 : x
  2. Step 2: Convert to fraction form
    185,422.40/278,133.60 = 178,164.80/x
  3. Step 3: Cross multiply
    185,422.40x = 278,133.60 × 178,164.80
  4. Step 4: Simplify right side
    185,422.40x = 49,553,617,217.28
  5. Step 5: Solve for x
    x = 49,553,617,217.28/185,422.40
  6. Step 6: Final answer
    x = 267,247.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.